Bitwise OR:
mysql> SELECT 29 | 15;
-> 31
The result is an unsigned 64-bit integer.
&
Bitwise AND:
mysql> SELECT 29 & 15;
-> 13
The result is an unsigned 64-bit integer.
^
Bitwise XOR:
mysql> SELECT 1 ^ 1;
-> 0
mysql> SELECT 1 ^ 0;
-> 1
mysql> SELECT 11 ^ 3;
-> 8
The result is an unsigned 64-bit integer.
<<
Shifts a longlong (BIGINT) number to the left.
mysql> SELECT 1 << 2;
-> 4
The result is an unsigned 64-bit integer.
>>
Shifts a longlong (BIGINT) number to the right.
mysql> SELECT 4 >> 2;
-> 1
The result is an unsigned 64-bit integer.
~
Invert all bits.
mysql> SELECT 5 & ~1;
-> 4
The result is an unsigned 64-bit integer.
BIT_COUNT(N)
Returns the number of bits that are set in the argument N.
mysql> SELECT BIT_COUNT(29);
-> 4